Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

in a scale drawing of an airplane, 1 inch represents 10 feet. scale 1 i…

Question

in a scale drawing of an airplane, 1 inch represents 10 feet.
scale
1 in : 10 ft
answer the following.
(a) in the scale drawing, the length of the airplane is 8 inches. what is the length of the real airplane?
feet
(b) the wingspan of the real airplane is 90 feet. what is the wingspan of the airplane in the scale drawing?

Explanation:

Part (a)

Step1: Understand the scale

The scale is 1 inch represents 10 feet, so the conversion factor is 10 feet per inch.

Step2: Calculate real length

If the drawing length is 8 inches, multiply by the conversion factor: \( 8 \times 10 = 80 \)

Step1: Use the scale ratio

The scale is 1 inch : 10 feet, so to find the drawing length, divide real length by 10.

Step2: Compute drawing wingspan

Real wingspan is 90 feet, so drawing wingspan is \( \frac{90}{10} = 9 \)

Answer:

80

Part (b)